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Finding the Third Proportional to 24,158 and 32,508

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Solution

The third proportional to 24,158 and 32,508 is: 43,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158 : 32,508 = 32,508 : x
  2. Step 2: Convert to fraction form
    24,158/32,508 = 32,508/x
  3. Step 3: Cross multiply
    24,158x = 32,508 × 32,508
  4. Step 4: Simplify right side
    24,158x = 1,056,770,064
  5. Step 5: Solve for x
    x = 1,056,770,064/24,158
  6. Step 6: Final answer
    x = 43,744.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.